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Finding the Fourth Proportional to 322,915.20, 483,220.80 and 204,643.20

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Solution

The fourth proportional to 322,915.20, 483,220.80 and 204,643.20 is: 306,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,915.20 : 483,220.80 = 204,643.20 : x
  2. Step 2: Convert to fraction form
    322,915.20/483,220.80 = 204,643.20/x
  3. Step 3: Cross multiply
    322,915.20x = 483,220.80 × 204,643.20
  4. Step 4: Simplify right side
    322,915.20x = 98,887,850,818.56
  5. Step 5: Solve for x
    x = 98,887,850,818.56/322,915.20
  6. Step 6: Final answer
    x = 306,234.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.